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Mathematics
Mathematics
Problem
For
x
≠
0
x\neq0
x
=
0
, let
f
′
(
x
)
=
x
2
−
4
x
2
+
1
f'(x)=\dfrac{x^{2}-4}{x^{2}+1}
f
′
(
x
)
=
x
2
+
1
x
2
−
4
. Determine all
x
x
x
–values at which
f
f
f
has an inflection point, and justify your conclusion by analyzing concavity on the intervals determined by those values.
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